What is the answer to sqrt(5x-19)=x-3 ?

The answer to sqrt(5x-19)=x-3 is x=7,x=4

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sqrt(5x-19)=x-3

5 x - 19 = x - 3

x = 7, x = 4

Solution steps

5 x - 19 = x - 3

Square both sides:

5 x - 19 = x^{2} - 6 x + 9

5 x - 19 = x^{2} - 6 x + 9

Solve

5 x - 19 = x^{2} - 6 x + 9 : x = 7, x = 4

x = 7, x = 4

Verify Solutions:

x = 7

True

, x = 4

True

The solutions are

x = 7, x = 4

2 x + 72 - 7 = 1

2 - 5 x + x 3 = 0

x = \frac{8}{x}

2 x + 10 = x + 5

\frac{1}{2 x} = \frac{1}{4}

What is the answer to sqrt(5x-19)=x-3 ?
The answer to sqrt(5x-19)=x-3 is x=7,x=4
Solve for x: sqrt(5x-19)=x-3
The solution is x=7,x=4